Validate that the following code, which adds the methods var() and stddev() to Accumulator, computes both the mean and variance of the numbers presented as arguments to addDataValue(): public class Accumulator {  private double m;  private double s;  private int N;  public void addDataValue(double x)  {  N++;  s = s + 1.0 * (N-1) / N * (x - m) * (x - m);  m = m + (x - m) / N;  }  public double mean()  { return m; }  public double var()  { return s/(N - 1); }  public double stddev()  { return Math.sqrt(this.var()); } } This implementation is less susceptible to roundoff error than the straightforward implementation based on saving the sum of the squares of the number

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Validate that the following code, which adds the
methods var() and stddev() to Accumulator, computes both the mean and variance
of the numbers presented as arguments to addDataValue():
public class Accumulator
{
 private double m;
 private double s;
 private int N;
 public void addDataValue(double x)
 {
 N++;
 s = s + 1.0 * (N-1) / N * (x - m) * (x - m);
 m = m + (x - m) / N;
 }
 public double mean()
 { return m; }
 public double var()
 { return s/(N - 1); }
 public double stddev()
 { return Math.sqrt(this.var()); }
}
This implementation is less susceptible to roundoff error than the straightforward implementation based on saving the sum of the squares of the number

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